%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP019_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:42 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ITP019_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:00:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort tptp.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal 0) % 0.39/0.59 (declare-sort tptp.tp__ty_2Erealax_2Ereal 0) % 0.39/0.59 (declare-sort tptp.tp__ty_2Enum_2Enum 0) % 0.39/0.59 (declare-sort tptp.tp__o 0) % 0.39/0.59 (declare-sort tptp.del 0) % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.39/0.59 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.39/0.59 (declare-const tptp.c_2Ecomplex_2Ecomplex__inv $$unsorted) % 0.39/0.59 (declare-const tptp.c_2Ecomplex_2Ecomplex__of__num $$unsorted) % 0.39/0.59 (declare-const tptp.fo__c_2Ebool_2EF tptp.tp__o) % 0.39/0.59 (declare-const tptp.fo__c_2Ebool_2E_7E (-> tptp.tp__o tptp.tp__o)) % 0.39/0.59 (declare-const tptp.bool tptp.del) % 0.39/0.59 (declare-const tptp.ty_2Epair_2Eprod (-> tptp.del tptp.del tptp.del)) % 0.39/0.59 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 0.39/0.59 (declare-const tptp.inj__ty_2Erealax_2Ereal (-> tptp.tp__ty_2Erealax_2Ereal $$unsorted)) % 0.39/0.59 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 0.39/0.59 (declare-const tptp.i (-> tptp.del $$unsorted)) % 0.39/0.59 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.39/0.59 (declare-const tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (-> $$unsorted tptp.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)) % 0.39/0.59 (declare-const tptp.ty_2Enum_2Enum tptp.del) % 0.39/0.59 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.39/0.59 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.ty_2Erealax_2Ereal tptp.del) % 0.39/0.59 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.39/0.59 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 0.39/0.59 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 0.39/0.59 (declare-const tptp.fo__c_2Ebool_2E_2F_5C (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 0.39/0.59 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 0.39/0.59 (declare-const tptp.inj__ty_2Enum_2Enum (-> tptp.tp__ty_2Enum_2Enum $$unsorted)) % 0.39/0.59 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 0.39/0.59 (declare-const tptp.surj__ty_2Enum_2Enum (-> $$unsorted tptp.tp__ty_2Enum_2Enum)) % 0.39/0.59 (declare-const tptp.c_2Enum_2E0 $$unsorted) % 0.39/0.59 (declare-const tptp.fo__c_2Emin_2E_3D_3D_3E (-> tptp.tp__o tptp.tp__o tptp.tp__o)) % 0.39/0.59 (declare-const tptp.fo__c_2Enum_2E0 tptp.tp__ty_2Enum_2Enum) % 0.39/0.59 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 0.39/0.59 (declare-const tptp.surj__ty_2Erealax_2Ereal (-> $$unsorted tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.59 (declare-const tptp.inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (-> tptp.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal $$unsorted)) % 0.39/0.59 (define @t1 () (@var "B" tptp.del)) % 0.39/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t3 () (@var "F" $$unsorted)) % 0.39/0.59 (define @t4 () (tptp.ap @t3 @t2)) % 0.39/0.59 (define @t5 () (@var "A" tptp.del)) % 0.39/0.59 (define @t6 () (tptp.mem @t2 @t5)) % 0.39/0.59 (define @t7 () (@list @t2)) % 0.39/0.59 (define @t8 () (tptp.arr @t5 @t1)) % 0.39/0.59 (define @t9 () (tptp.mem @t3 @t8)) % 0.39/0.59 (define @t10 () (@list @t5 @t1 @t3)) % 0.39/0.59 (define @t11 () (@var "R" $$unsorted)) % 0.39/0.59 (define @t12 () (@var "Q" $$unsorted)) % 0.39/0.59 (define @t13 () (tptp.p @t11)) % 0.39/0.59 (define @t14 () (tptp.p @t12)) % 0.39/0.59 (define @t15 () (tptp.mem @t11 tptp.bool)) % 0.39/0.59 (define @t16 () (@list @t11)) % 0.39/0.59 (define @t17 () (tptp.mem @t12 tptp.bool)) % 0.39/0.59 (define @t18 () (@list @t12)) % 0.39/0.59 (define @t19 () (@var "G" $$unsorted)) % 0.39/0.59 (define @t20 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t21 () (@list @t5 @t2)) % 0.39/0.59 (define @t22 () (@var "X" tptp.tp__o)) % 0.39/0.59 (define @t23 () (tptp.inj__o @t22)) % 0.39/0.59 (define @t24 () (@list @t22)) % 0.39/0.59 (define @t25 () (tptp.arr tptp.bool tptp.bool)) % 0.39/0.59 (define @t26 () (@var "X0" tptp.tp__o)) % 0.39/0.59 (define @t27 () (tptp.inj__o @t26)) % 0.39/0.59 (define @t28 () (tptp.arr tptp.bool @t25)) % 0.39/0.59 (define @t29 () (@var "X1" tptp.tp__o)) % 0.39/0.59 (define @t30 () (tptp.inj__o @t29)) % 0.39/0.59 (define @t31 () (@list @t26 @t29)) % 0.39/0.59 (define @t32 () (@var "X" tptp.tp__ty_2Enum_2Enum)) % 0.39/0.59 (define @t33 () (tptp.inj__ty_2Enum_2Enum @t32)) % 0.39/0.59 (define @t34 () (@list @t32)) % 0.39/0.59 (define @t35 () (tptp.inj__ty_2Enum_2Enum tptp.fo__c_2Enum_2E0)) % 0.39/0.59 (define @t36 () (@var "X" tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.59 (define @t37 () (tptp.inj__ty_2Erealax_2Ereal @t36)) % 0.39/0.59 (define @t38 () (@list @t36)) % 0.39/0.59 (define @t39 () (@var "X" tptp.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)) % 0.39/0.59 (define @t40 () (tptp.inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @t39)) % 0.39/0.59 (define @t41 () (@list @t39)) % 0.39/0.59 (define @t42 () (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) % 0.39/0.59 (define @t43 () (@var "A_27a" tptp.del)) % 0.39/0.59 (define @t44 () (tptp.arr @t43 tptp.bool)) % 0.39/0.59 (define @t45 () (@list @t43)) % 0.39/0.59 (define @t46 () (@var "V0t" tptp.tp__o)) % 0.39/0.59 (define @t47 () (tptp.p (tptp.inj__o @t46))) % 0.39/0.59 (define @t48 () (@var "V1x" $$unsorted)) % 0.39/0.59 (define @t49 () (tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num @t35))) % 0.39/0.59 (define @t50 () (@var "V0z" tptp.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)) % 0.39/0.59 (define @t51 () (= @t50 @t49)) % 0.39/0.59 (define @t52 () (tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv (tptp.inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @t50)))) % 0.39/0.59 (define @t53 () (= @t52 @t49)) % 0.39/0.59 (define @t54 () (= @t53 @t51)) % 0.39/0.59 (define @t55 () (@list @t50)) % 0.39/0.59 (define @t56 () (forall @t55 @t54)) % 0.39/0.59 (define @t57 () (not @t53)) % 0.39/0.59 (define @t58 () (not @t51)) % 0.39/0.59 (define @t59 () (=> @t58 @t57)) % 0.39/0.59 (define @t60 () (forall @t55 @t59)) % 0.39/0.59 (define @t61 () (not @t60)) % 0.39/0.59 (define @t62 () (= @t49 @t52)) % 0.39/0.59 (define @t63 () (not @t62)) % 0.39/0.59 (define @t64 () (forall @t55 (or @t51 @t63))) % 0.39/0.59 (define @t65 () (@quantifiers_skolemize @t64 0)) % 0.39/0.59 (define @t66 () (= @t49 (tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv (tptp.inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @t65))))) % 0.39/0.59 (define @t67 () (not @t66)) % 0.39/0.59 (define @t68 () (= @t49 @t65)) % 0.39/0.59 (define @t69 () (or @t68 @t67)) % 0.39/0.59 (define @t70 () (not @t69)) % 0.39/0.59 (define @t71 () (not @t64)) % 0.39/0.59 (define @t72 () (= @t65 @t49)) % 0.39/0.59 (define @t73 () (or @t72 @t67)) % 0.39/0.59 (define @t74 () (not @t73)) % 0.39/0.59 (define @t75 () (@list true)) % 0.39/0.59 (define @t76 () (@list @t69)) % 0.39/0.59 (define @t77 () (= @t66 @t68)) % 0.39/0.59 (define @t78 () (not @t77)) % 0.39/0.59 (define @t79 () (= @t72 @t66)) % 0.39/0.59 (define @t80 () (forall @t55 (= @t51 @t62))) % 0.39/0.59 (assume @p1 (forall @t10 (=> @t9 (forall @t7 (=> @t6 (tptp.mem @t4 @t1)))))) % 0.39/0.59 (assume @p2 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (=> (= @t14 @t13) (= @t12 @t11))))))) % 0.39/0.59 (assume @p3 (forall @t10 (=> @t9 (forall (@list @t19) (=> (tptp.mem @t19 @t8) (=> (forall @t7 (=> @t6 (= @t4 (tptp.ap @t19 @t2)))) (= @t3 @t19))))))) % 0.39/0.59 (assume @p4 (forall (@list @t5 @t20 @t2) (=> @t6 (= (tptp.ap (tptp.k @t5 @t20) @t2) @t20)))) % 0.39/0.59 (assume @p5 (forall @t21 (=> @t6 (= (tptp.ap (tptp.i @t5) @t2) @t2)))) % 0.39/0.59 (assume @p6 (forall @t24 (= (tptp.surj__o @t23) @t22))) % 0.39/0.59 (assume @p7 (forall @t24 (tptp.mem @t23 tptp.bool))) % 0.39/0.59 (assume @p8 (forall @t7 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 0.39/0.59 (assume @p9 (tptp.mem tptp.c_2Ebool_2E_7E @t25)) % 0.39/0.59 (assume @p10 (forall (@list @t26) (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_7E @t26)) (tptp.ap tptp.c_2Ebool_2E_7E @t27)))) % 0.39/0.59 (assume @p11 (forall @t18 (=> @t17 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t12)) (not @t14))))) % 0.39/0.59 (assume @p12 (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 0.39/0.59 (assume @p13 (= (tptp.inj__o tptp.fo__c_2Ebool_2EF) tptp.c_2Ebool_2EF)) % 0.39/0.59 (assume @p14 (not (tptp.p tptp.c_2Ebool_2EF))) % 0.39/0.59 (assume @p15 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 0.39/0.59 (assume @p16 (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET)) % 0.39/0.59 (assume @p17 (tptp.p tptp.c_2Ebool_2ET)) % 0.39/0.59 (assume @p18 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t28)) % 0.39/0.59 (assume @p19 (forall @t31 (= (tptp.inj__o (tptp.fo__c_2Emin_2E_3D_3D_3E @t26 @t29)) (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t27) @t30)))) % 0.39/0.59 (assume @p20 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t12) @t11)) (=> @t14 @t13))))))) % 0.39/0.59 (assume @p21 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t28)) % 0.39/0.59 (assume @p22 (forall @t31 (= (tptp.inj__o (tptp.fo__c_2Ebool_2E_2F_5C @t26 @t29)) (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t27) @t30)))) % 0.39/0.59 (assume @p23 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t12) @t11)) (and @t14 @t13))))))) % 0.39/0.59 (assume @p24 (forall @t34 (= (tptp.surj__ty_2Enum_2Enum @t33) @t32))) % 0.39/0.59 (assume @p25 (forall @t34 (tptp.mem @t33 tptp.ty_2Enum_2Enum))) % 0.39/0.59 (assume @p26 (forall @t7 (=> (tptp.mem @t2 tptp.ty_2Enum_2Enum) (= @t2 (tptp.inj__ty_2Enum_2Enum (tptp.surj__ty_2Enum_2Enum @t2)))))) % 0.39/0.59 (assume @p27 (tptp.mem tptp.c_2Enum_2E0 tptp.ty_2Enum_2Enum)) % 0.39/0.59 (assume @p28 (= @t35 tptp.c_2Enum_2E0)) % 0.39/0.59 (assume @p29 (forall @t38 (= (tptp.surj__ty_2Erealax_2Ereal @t37) @t36))) % 0.39/0.59 (assume @p30 (forall @t38 (tptp.mem @t37 tptp.ty_2Erealax_2Ereal))) % 0.39/0.59 (assume @p31 (forall @t7 (=> (tptp.mem @t2 tptp.ty_2Erealax_2Ereal) (= @t2 (tptp.inj__ty_2Erealax_2Ereal (tptp.surj__ty_2Erealax_2Ereal @t2)))))) % 0.39/0.59 (assume @p32 (forall @t41 (= (tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @t40) @t39))) % 0.39/0.59 (assume @p33 (forall @t41 (tptp.mem @t40 @t42))) % 0.39/0.59 (assume @p34 (forall @t7 (=> (tptp.mem @t2 @t42) (= @t2 (tptp.inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal (tptp.surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @t2)))))) % 0.39/0.59 (assume @p35 (tptp.mem tptp.c_2Ecomplex_2Ecomplex__of__num (tptp.arr tptp.ty_2Enum_2Enum @t42))) % 0.39/0.59 (assume @p36 (tptp.mem tptp.c_2Ecomplex_2Ecomplex__inv (tptp.arr @t42 @t42))) % 0.39/0.59 (assume @p37 (forall @t45 (tptp.mem (tptp.c_2Emin_2E_3D @t43) (tptp.arr @t43 @t44)))) % 0.39/0.59 (assume @p38 (forall @t21 (=> @t6 (forall (@list @t20) (=> (tptp.mem @t20 @t5) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t5) @t2) @t20)) (= @t2 @t20))))))) % 0.39/0.59 (assume @p39 (forall @t45 (tptp.mem (tptp.c_2Ebool_2E_21 @t43) (tptp.arr @t44 tptp.bool)))) % 0.39/0.59 (assume @p40 (forall (@list @t5 @t12) (=> (tptp.mem @t12 (tptp.arr @t5 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t5) @t12)) (forall @t7 (=> @t6 (tptp.p (tptp.ap @t12 @t2)))))))) % 0.39/0.59 (assume @p41 true) % 0.39/0.59 (assume @p42 (forall (@list @t43 @t46) (= (forall (@list @t48) (=> (tptp.mem @t48 @t43) @t47)) @t47))) % 0.39/0.59 (assume @p43 (forall (@list @t46) (and (= (=> true @t47) @t47) (= (=> @t47 true) true) (= (=> false @t47) true) (= (=> @t47 @t47) true) (= (=> @t47 false) (not @t47))))) % 0.39/0.59 (assume @p44 @t56) % 0.39/0.59 (assume @p45 @t61) % 0.39/0.59 (step @p46 :rule eq-symm :args (@t62 @t51)) % 0.39/0.59 (step @p47 :rule refl :args (@t51)) % 0.39/0.59 (step @p48 :rule eq-symm :args (@t52 @t49)) % 0.39/0.59 (step @p49 :rule cong :premises (@p48 @p47) :args (@t54)) % 0.39/0.59 (step @p50 :rule trans :premises (@p49 @p46)) % 0.39/0.59 (step @p51 :rule cong :premises (@p50) :args (@t56)) % 0.39/0.59 (step @p52 :rule eq_resolve :premises (@p44 @p51)) % 0.39/0.59 (step @p53 :rule refl :args (@t63)) % 0.39/0.59 (step @p54 :rule bool-double-not-elim :args (@t51)) % 0.39/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t58) @t63))) % 0.39/0.59 (step @p56 :rule bool-impl-elim :args (@t58 @t63)) % 0.39/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.59 (step @p58 :rule cong :premises (@p57) :args ((forall @t55 (=> @t58 @t63)))) % 0.39/0.59 (step @p59 :rule cong :premises (@p48) :args (@t57)) % 0.39/0.59 (step @p60 :rule refl :args (@t58)) % 0.39/0.59 (step @p61 :rule cong :premises (@p60 @p59) :args (@t59)) % 0.39/0.59 (step @p62 :rule cong :premises (@p61) :args (@t60)) % 0.39/0.59 (step @p63 :rule trans :premises (@p62 @p58)) % 0.39/0.59 (step @p64 :rule cong :premises (@p63) :args (@t61)) % 0.39/0.59 (step @p65 :rule eq_resolve :premises (@p45 @p64)) % 0.39/0.59 (step @p66 :rule refl :args (@t70)) % 0.39/0.59 (step @p67 :rule bool-double-not-elim :args (@t64)) % 0.39/0.59 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t71) @t70))) % 0.39/0.59 (step @p69 :rule refl :args (@t67)) % 0.39/0.59 (step @p70 :rule eq-symm :args (@t65 @t49)) % 0.39/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t73)) % 0.39/0.59 (step @p72 :rule cong :premises (@p71) :args (@t74)) % 0.39/0.59 (step @p73 :rule refl :args (@t71)) % 0.39/0.59 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t71 @t74))) % 0.39/0.59 (assume-push @p108 @t71) % 0.39/0.59 (step @p76 :rule skolemize :premises (@p65)) % 0.39/0.59 (step-pop @p109 :rule scope :premises (@p76)) % 0.39/0.59 (step @p77 :rule process_scope :premises (@p109) :args (@t74)) % 0.39/0.59 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.39/0.59 (step @p80 :rule implies_elim :premises (@p79)) % 0.39/0.59 (step @p81 :rule eq_resolve :premises (@p80 @p68)) % 0.39/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p65) :args (@t70 @t75 (@list @t64))) % 0.39/0.59 (step @p83 :rule cnf_or_neg :args (@t69 0)) % 0.39/0.59 (step @p84 :rule chain_m_resolution :premises (@p83 @p82) :args ((not @t68) @t75 @t76)) % 0.39/0.59 (step @p85 :rule bool-double-not-elim :args (@t66)) % 0.39/0.60 (step @p86 :rule refl :args (@t69)) % 0.39/0.60 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t69 (not @t67)))) % 0.39/0.60 (step @p88 :rule cnf_or_neg :args (@t69 1)) % 0.39/0.60 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.39/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t66 @t69))) % 0.39/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p82) :args (@t66 @t75 @t76)) % 0.39/0.60 (step @p92 :rule cnf_equiv_pos1 :args (@t77)) % 0.39/0.60 (step @p93 :rule reordering :premises (@p92) :args ((or @t67 @t68 @t78))) % 0.39/0.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p84) :args (@t78 (@list false true) (@list @t66 @t68))) % 0.39/0.60 (step @p95 :rule eq-symm :args (@t68 @t66)) % 0.39/0.60 (step @p96 :rule refl :args (@t66)) % 0.39/0.60 (step @p97 :rule cong :premises (@p70 @p96) :args (@t79)) % 0.39/0.60 (step @p98 :rule trans :premises (@p97 @p95)) % 0.39/0.60 (step @p99 :rule refl :args (@t80)) % 0.39/0.60 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t80 @t79))) % 0.39/0.60 (assume-push @p110 @t80) % 0.39/0.60 (step @p102 :rule instantiate :premises (@p52) :args ((@list @t65))) % 0.39/0.60 (step-pop @p111 :rule scope :premises (@p102)) % 0.39/0.60 (step @p103 :rule process_scope :premises (@p111) :args (@t79)) % 0.39/0.60 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 0.39/0.60 (step @p106 :rule implies_elim :premises (@p105)) % 0.39/0.60 (step @p107 false :rule chain_m_resolution :premises (@p106 @p94 @p52) :args (false (@list true false) (@list @t77 @t80))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------